Deformation and spin-orbit splitting of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi mathvariant="normal">Λ</mml:mi></mml:math> hypernuclei in the Skyrme-Hartree-Fock approach
Huai-Tong Xue, Yifan Chen, Q. B. Chen, Yinhong Luo, H.-J. Schulze, Xian-Rong Zhou
Abstract
The realizations of spin symmetry in the $\mathrm{\ensuremath{\Lambda}}$ hyperon spectra of hypernuclei ranging from light to heavy masses are investigated in the framework of the deformed Skyrme-Hartree-Fock approach. The effect of deformation on spin symmetry and its interplay with the required spin-orbit force is studied in detail. It is found that the spin symmetry prevails due to a small spin-orbit force. Moreover, for spin doublets with the same principal quantum number $n$, the reduced spin-orbit splitting $\mathrm{\ensuremath{\Delta}}{E}_{\text{s.o.}}$ shows a good linear relation with respect to the quantum number $l$, even for a large $\mathrm{\ensuremath{\Lambda}}N$ spin-orbit strength.